6.8.32 Set Theory

Condition: Using the Euler -Venna diagrams, simplify the expression: \ [(\ bar {a} \ cdot \ bar {b} \ cdot \ bar {c}+\ bar {a} \ cdot \ bar {b} \ cdot c+\ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ cdot b \ \ bar {c}+\ bar {a} \ cdot b \ cdot c) \ cdot c+\ bar {a} \]